How are unit rates written?

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Answer 1 · 2016-05-13T18:33:50

see explanation

Depends upon which you are applying the unit measurement

For example, consider the following example of a right triangle
Tony B

#("Amount of up")/("Amount of along")-> 1/2 #

And this is the same as #(1-:2)/(2-:2) = 0.5/1#

The bottom number is the unit (1 off) compared against and the rate is the #0.5#

#color(magenta)("So the unit rate in this instance is "0.5)#

#color(brown)("So unit rate is comparing quantities against a standardised quantity")##color(brown)("of 1 of something else.")#

If you consider the trigonometric ratio of tangent #->tan(theta)#

For the same triangle:
Tony B

#tan(theta)=("amount of up")/("amount of along")=1/2 = 0.5/1#

So #tan(theta)=0.5#